SOLUTION: in a triangle the measure of the second angle is 4 times the measure of the first angle. the measure of the third angle is equal to the sum of the measures of the first two angles.

Question 117650: in a triangle the measure of the second angle is 4 times the measure of the first angle. the measure of the third angle is equal to the sum of the measures of the first two angles. find the number of degrees in each angle of the triangle
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
in a triangle the measure of the second angle is 4 times the measure of the first angle. the measure of the third angle is equal to the sum of the measures of the first two angles. find the number of degrees in each angle of the triangle
:
Let x = the measure of the 1st angle
:
It says,"the measure of the second angle is 4 times the measure of the first angle."
we can translate that to:
4x = measure of the 2nd angle
:
"the measure of the third angle is equal to the sum of the measures of the first two angles."
we can translate that to:
3rd angle = x + 4x
3rd angle = 5x
:
find the number of degrees in each angle of the triangle
Every triangle angles = 180, therefore:
x + 4x + 5x = 180
:
10x = 180
:
x = 18 degrees is the 1st angle
:
4(18) = 72 degrees is the 2nd angle
:
5(18) = 90 degrees is the 3rd angle
:
Did this make sense to you? Not that hard, right?
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